### APPM2720 Homework for Week 11

This is a short assignment to get practice running the **glm** function and also evaluating the classifer using true positive rate and false positive rates.

Refer to the Week 11 folder and the R script LogisticRegression.R.

1) For the spam data set **spam.RData** fit a logisitic regression model
to the training subset ( **subset=train**) using the variable **free** and give a 95% confidence interval for the
free coefficient.

2) From your fit in 1) for a cutoff of .5 find the true positive rate and the false positive rate using the data NOT in the training sample

3) Repeat your analysis using both **log10(capLong)** ( i.e `I(log10(capLong)`

and the **free** using a a pus sign in the glm formula. Find the true positive rate and the false positive rate change for this new model as a classifier with a .5 cutoff. It this a better classifier?